Transforming Sinusoidal Functions: Stretching and Shrinking

This lesson covers the transformation of sinusoidal functions, focusing on stretching and shrinking them both horizontally and vertically. It reviews the basic shapes of sine and cosine graphs and explains how to plot them using a five-point pattern. The lesson details how the values of A and B affect the amplitude and period of the graphs, respectively. It also guides students on determining equations from given graphs and sketching graphs from equations, emphasizing the impact of negative values and the importance of scaling axes correctly.

In what way does a negative value of A affect the graph of the sine function?

What is the significance of the absolute value of B in relation to the period?

How can you determine the equation of a sine graph based on its amplitude and period?